Pith Number

pith:BD3LOK62

pith:2006:BD3LOK62R4UCHNDKXI7YYQ6KFO

not attested not anchored not stored refs pending

Schr\"odinger Maps and their associated Frame Systems

Andrea Nahmod, Chongchun Zeng, Jalal Shatah, Luis Vega

arxiv:math/0612481 v2 · 2006-12-17 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BD3LOK62R4UCHNDKXI7YYQ6KFO}

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	2026-07-04T14:59:07.390491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08f6b72bda8f2823b46aba3f8c43ca2bb66b3c8068c2169419eee483dba1c152

Aliases

arxiv: math/0612481 · arxiv_version: math/0612481v2 · doi: 10.48550/arxiv.math/0612481 · pith_short_12: BD3LOK62R4UC · pith_short_16: BD3LOK62R4UCHNDK · pith_short_8: BD3LOK62

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/BD3LOK62R4UCHNDKXI7YYQ6KFO \
  | 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: 08f6b72bda8f2823b46aba3f8c43ca2bb66b3c8068c2169419eee483dba1c152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f61112c374f2b7b37632345bb8518240fa467c9aa88e690a04a2979859e18f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-12-17T08:55:47Z",
    "title_canon_sha256": "322726f088238bd10eb39a960f2e5f29387ec95a7da518c992ccb90616cba621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612481",
    "kind": "arxiv",
    "version": 2
  }
}