Pith Number

pith:MK656C5K

pith:2012:MK656C5KJ224OTSX5IIZAMG3ZA

not attested not anchored not stored refs pending

The Krein Matrix: General Theory and Concrete Applications in Atomic Bose-Einstein Condensates

Dong Yan, Panayotis Kevrekidis, Todd Kapitula

arxiv:1212.2951 v2 · 2012-12-12 · math-ph · cond-mat.quant-gas · math.MP · nlin.PS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MK656C5KJ224OTSX5IIZAMG3ZA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:27:42.662556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62bddf0baa4eb5c74e57ea119030dbc80ec7717d66a80e15cc0a5e9f63314f27

Aliases

arxiv: 1212.2951 · arxiv_version: 1212.2951v2 · doi: 10.48550/arxiv.1212.2951 · pith_short_12: MK656C5KJ224 · pith_short_16: MK656C5KJ224OTSX · pith_short_8: MK656C5K

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MK656C5KJ224OTSX5IIZAMG3ZA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 62bddf0baa4eb5c74e57ea119030dbc80ec7717d66a80e15cc0a5e9f63314f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09b5610c75cfc74b0ffdd80dd9bd13e4701c53f9130fe93aaa3e33c8d1fc591",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-12T20:34:02Z",
    "title_canon_sha256": "687ea697c0b92a72b80d6469b98c46ddcbf0da70e8089f7ad6f73a76bf92fda5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2951",
    "kind": "arxiv",
    "version": 2
  }
}