Pith Number

pith:QIKWRZYW

pith:2015:QIKWRZYWGS7XGZLWGSV5E4MFVQ

not attested not anchored not stored refs pending

Vanishing cycles and Cartan eigenvectors

Alexander Varchenko, Laura Brillon, Revaz Ramazashvili, Vadim Schechtman

arxiv:1509.05591 v4 · 2015-09-18 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIKWRZYWGS7XGZLWGSV5E4MFVQ}

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	2026-05-18T01:08:32.479634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

821568e71634bf73657634abd27185ac3cf52572b1abbb63cdbbcd322c3de156

Aliases

arxiv: 1509.05591 · arxiv_version: 1509.05591v4 · doi: 10.48550/arxiv.1509.05591 · pith_short_12: QIKWRZYWGS7X · pith_short_16: QIKWRZYWGS7XGZLW · pith_short_8: QIKWRZYW

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/QIKWRZYWGS7XGZLWGSV5E4MFVQ \
  | 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: 821568e71634bf73657634abd27185ac3cf52572b1abbb63cdbbcd322c3de156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af421b9496293d6a50cbd61a81455f221919883dac04d6769ae64f575d392e65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-18T11:21:29Z",
    "title_canon_sha256": "3619ec1605d34a1dd04a26896c62e978779bc5584155ac7a0425140dab378551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05591",
    "kind": "arxiv",
    "version": 4
  }
}