Pith Number

pith:RY5RGAK5

pith:1996:RY5RGAK53FT442U6E6AMXEKRJK

not attested not anchored not stored refs pending

The normal symbol on Riemannian manifolds

Markus J. Pflaum

arxiv:dg-ga/9612011 v2 · 1996-12-11 · dg-ga · 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{RY5RGAK53FT442U6E6AMXEKRJK}

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.

Cited by

1 paper in Pith

Pseudodifferential Weyl calculus on vector bundles

Receipt and verification

First computed	2026-07-04T15:07:44.118030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3b13015dd967ce6a9e2780cb91514a86acbc19823e9eea84e3b6c895ed91a5

Aliases

arxiv: dg-ga/9612011 · arxiv_version: dg-ga/9612011v2 · doi: 10.48550/arxiv.dg-ga/9612011 · pith_short_12: RY5RGAK53FT4 · pith_short_16: RY5RGAK53FT442U6 · pith_short_8: RY5RGAK5

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/RY5RGAK53FT442U6E6AMXEKRJK \
  | 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: 8e3b13015dd967ce6a9e2780cb91514a86acbc19823e9eea84e3b6c895ed91a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a95013d6f150c407ac4233e64d25829fa10beede10537a9409b4572333ed4b9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "dg-ga",
    "submitted_at": "1996-12-11T12:03:14Z",
    "title_canon_sha256": "71fce01487b6b39fe4c8e04db0b5cecc0c4304f35a00ad3c8cf1ddb2980af34a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "dg-ga/9612011",
    "kind": "arxiv",
    "version": 2
  }
}