Pith Number

pith:W7A6V6HQ

pith:2001:W7A6V6HQA4PFGO6FLBD7C3T5P4

not attested not anchored not stored refs pending

Finite volume flows and Morse theory

F. Reese Harvey, H. Blaine Lawson, jr

arxiv:math/0101268 v1 · 2001-01-01 · 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{W7A6V6HQA4PFGO6FLBD7C3T5P4}

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	2026-05-18T03:47:10.566153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c1eaf8f0071e533bc55847f16e7d7f3494760a7ffcfc7b153f12980a82f0d0

Aliases

arxiv: math/0101268 · arxiv_version: math/0101268v1 · doi: 10.48550/arxiv.math/0101268 · pith_short_12: W7A6V6HQA4PF · pith_short_16: W7A6V6HQA4PFGO6F · pith_short_8: W7A6V6HQ

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/W7A6V6HQA4PFGO6FLBD7C3T5P4 \
  | 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: b7c1eaf8f0071e533bc55847f16e7d7f3494760a7ffcfc7b153f12980a82f0d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f4f6ecf2a0906b386a6f77d82430018ffa5f018c6ac96d30113bd4852eeebb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2001-01-01T00:00:00Z",
    "title_canon_sha256": "20610c5d7dff403440eebf0e7eda76545fd291cf74eddf3d459cbbd843533a3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101268",
    "kind": "arxiv",
    "version": 1
  }
}