Pith Number

pith:VA2YDUGR

pith:2017:VA2YDUGRLUOOV6BZJILHXAKZBM

not attested not anchored not stored refs pending

Microlocal analysis and beyond

Pierre Schapira

arxiv:1701.08955 v1 · 2017-01-31 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VA2YDUGRLUOOV6BZJILHXAKZBM}

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	2026-05-18T00:51:38.805518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83581d0d15d1ceaf8394a167b81590b25b18d5d037c21109ed228b1d1c77337

Aliases

arxiv: 1701.08955 · arxiv_version: 1701.08955v1 · doi: 10.48550/arxiv.1701.08955 · pith_short_12: VA2YDUGRLUOO · pith_short_16: VA2YDUGRLUOOV6BZ · pith_short_8: VA2YDUGR

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/VA2YDUGRLUOOV6BZJILHXAKZBM \
  | 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: a83581d0d15d1ceaf8394a167b81590b25b18d5d037c21109ed228b1d1c77337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4b5f0cf20ecec1f1975440797577ff60ca82a0e37466c4c5013f30f71574f32",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-31T09:22:04Z",
    "title_canon_sha256": "4f8bba77b148df04a94f223ec95341a19f4a860410b3ef675c2ec92249bb5e5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08955",
    "kind": "arxiv",
    "version": 1
  }
}