Pith Number

pith:MNSPAU34

pith:2012:MNSPAU34V7LYCTPI2LWCKLLTKS

not attested not anchored not stored refs pending

Nonlinear bound states on weakly homogeneous spaces

Hans Christianson, Jason Metcalfe, Jeremy Marzuola, Michael Taylor

arxiv:1203.3612 v1 · 2012-03-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNSPAU34V7LYCTPI2LWCKLLTKS}

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	2026-05-18T03:59:50.457748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6364f0537cafd7814de8d2ec252d7354ac6b436d6d25ecc842d3d610eb289531

Aliases

arxiv: 1203.3612 · arxiv_version: 1203.3612v1 · doi: 10.48550/arxiv.1203.3612 · pith_short_12: MNSPAU34V7LY · pith_short_16: MNSPAU34V7LYCTPI · pith_short_8: MNSPAU34

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/MNSPAU34V7LYCTPI2LWCKLLTKS \
  | 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: 6364f0537cafd7814de8d2ec252d7354ac6b436d6d25ecc842d3d610eb289531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ec51f865f36a73c80b96a54e4bcb835d2d1e2679fd5567a225489ed214b641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-16T03:51:24Z",
    "title_canon_sha256": "65e83f6d4b379508428b15034ee29303e7d7171ac3d30882b3e358d757bac930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3612",
    "kind": "arxiv",
    "version": 1
  }
}