Pith Number

pith:FJTMVLU5

pith:2014:FJTMVLU5KLRVRVRJYX3Y2VNK6U

not attested not anchored not stored refs pending

On the positivity of propagator differences

Andr\'as Vasy

arxiv:1411.7242 v1 · 2014-11-26 · math.AP · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJTMVLU5KLRVRVRJYX3Y2VNK6U}

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	2026-05-18T02:32:44.917291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a66caae9d52e358d629c5f78d55aaf5226741bb08a8fabad9842638012f285b

Aliases

arxiv: 1411.7242 · arxiv_version: 1411.7242v1 · doi: 10.48550/arxiv.1411.7242 · pith_short_12: FJTMVLU5KLRV · pith_short_16: FJTMVLU5KLRVRVRJ · pith_short_8: FJTMVLU5

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/FJTMVLU5KLRVRVRJYX3Y2VNK6U \
  | 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: 2a66caae9d52e358d629c5f78d55aaf5226741bb08a8fabad9842638012f285b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8267e663afe917debd6b8b477a19fa5f6822843179fb7b24fbabc8224e3919eb",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-26T14:28:14Z",
    "title_canon_sha256": "b915fbc0617b302826dbef0c0aa04b3166f79c4944a354c232c9eec3d5d71a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7242",
    "kind": "arxiv",
    "version": 1
  }
}