Pith Number

pith:TGH3GZM4

pith:2014:TGH3GZM4KFYH2S6FBYA3Z4ZC4X

not attested not anchored not stored refs pending

A generalization of Takegoshi's relative vanishing theorem

Martin Sera

arxiv:1411.2830 v2 · 2014-11-11 · 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{TGH3GZM4KFYH2S6FBYA3Z4ZC4X}

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	2026-05-18T01:09:32.322806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998fb3659c51707d4bc50e01bcf322e5ef56cb1826c7235678364850c54b2ab7

Aliases

arxiv: 1411.2830 · arxiv_version: 1411.2830v2 · doi: 10.48550/arxiv.1411.2830 · pith_short_12: TGH3GZM4KFYH · pith_short_16: TGH3GZM4KFYH2S6F · pith_short_8: TGH3GZM4

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/TGH3GZM4KFYH2S6FBYA3Z4ZC4X \
  | 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: 998fb3659c51707d4bc50e01bcf322e5ef56cb1826c7235678364850c54b2ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c1917d33a3cde117b31699155362a8bff70516eb9a3c29ef48ec0ae7f550d88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-11-11T14:34:02Z",
    "title_canon_sha256": "2f783d12bdc7277e241ea64849bbb2d565789935059fb9e27e3da27d5bbf2c69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2830",
    "kind": "arxiv",
    "version": 2
  }
}