Pith Number

pith:VR3SURSW

pith:2017:VR3SURSW7LMAADPHVLN6JARA76

not attested not anchored not stored refs pending

Stability and Grothendieck

Anand Pillay

arxiv:1703.04761 v2 · 2017-03-14 · math.LO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VR3SURSW7LMAADPHVLN6JARA76}

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	2026-05-18T00:47:54.575388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac772a4656fad8000de7aadbe48220ffa28c408cdb41d4ffbeedfeaeb35386b6

Aliases

arxiv: 1703.04761 · arxiv_version: 1703.04761v2 · doi: 10.48550/arxiv.1703.04761 · pith_short_12: VR3SURSW7LMA · pith_short_16: VR3SURSW7LMAADPH · pith_short_8: VR3SURSW

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/VR3SURSW7LMAADPHVLN6JARA76 \
  | 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: ac772a4656fad8000de7aadbe48220ffa28c408cdb41d4ffbeedfeaeb35386b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a4b4dee283f4999b34087e63002395e9c5a15a52a4efd61439fac8ecec59d3a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-03-14T22:14:51Z",
    "title_canon_sha256": "140d359740b7e1f8eb9359ae4d0ef16bf9a4147bfd86e99c1138e95e3c1a6fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04761",
    "kind": "arxiv",
    "version": 2
  }
}