Pith Number

pith:MV7T6YVL

pith:1997:MV7T6YVLANIR4MOVJ4BPDHPAZG

not attested not anchored not stored refs pending

Multiplicity of a zero of an analytic function on a trajectory of a vector field

Andrei Gabrielov (Purdue University)

arxiv:math/9702229 v1 · 1997-02-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MV7T6YVLANIR4MOVJ4BPDHPAZG}

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	2026-05-18T01:05:37.104419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

657f3f62ab03511e31d54f02f19de0c9869fdb241479f5e126d3b1f32d5307fe

Aliases

arxiv: math/9702229 · arxiv_version: math/9702229v1 · doi: 10.48550/arxiv.math/9702229 · pith_short_12: MV7T6YVLANIR · pith_short_16: MV7T6YVLANIR4MOV · pith_short_8: MV7T6YVL

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/MV7T6YVLANIR4MOVJ4BPDHPAZG \
  | 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: 657f3f62ab03511e31d54f02f19de0c9869fdb241479f5e126d3b1f32d5307fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4edf707ba3ca2b17795151d0436263ee39e77424899f2f03b881a8f54908eba6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "1997-02-21T00:00:00Z",
    "title_canon_sha256": "152cb86c5a7093c3ccc05987c16032aae9ef1293541c7c6e9eee748d0eeb2b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9702229",
    "kind": "arxiv",
    "version": 1
  }
}