Pith Number

pith:IPBACKTG

pith:2014:IPBACKTGSFPS63PJUJYQMQYY4G

not attested not anchored not stored refs pending

Multiplicity One Theorems, S-Version

Song Wang

arxiv:1401.0390 v1 · 2014-01-02 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPBACKTGSFPS63PJUJYQMQYY4G}

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	2026-05-18T01:45:34.523505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c2012a66915f2f6de9a271064318e1ac2049cdc9a058fd83636598a2980232

Aliases

arxiv: 1401.0390 · arxiv_version: 1401.0390v1 · doi: 10.48550/arxiv.1401.0390 · pith_short_12: IPBACKTGSFPS · pith_short_16: IPBACKTGSFPS63PJ · pith_short_8: IPBACKTG

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/IPBACKTGSFPS63PJUJYQMQYY4G \
  | 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: 43c2012a66915f2f6de9a271064318e1ac2049cdc9a058fd83636598a2980232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "753982df6c2ff51fe4440c91c62407550926762d5fb79fcb542c0a3ba40f7ac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-02T08:42:29Z",
    "title_canon_sha256": "fa3edd29a94b471e220a2bb37b8d863496aed10eafc565246685697b0c3dc358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0390",
    "kind": "arxiv",
    "version": 1
  }
}