Pith Number

pith:VLSQ2Y2D

pith:2017:VLSQ2Y2D4ZTVJ76MSMW5JWAEIT

not attested not anchored not stored refs pending

The $u^n$-invariant and the Symbol Length of $H_2^n(F)$

Adam Chapman, Kelly McKinnie

arxiv:1708.06396 v2 · 2017-08-21 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLSQ2Y2D4ZTVJ76MSMW5JWAEIT}

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	2026-05-18T00:35:03.619463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae50d6343e66754ffcc932dd4d80444c4766436be94f3fbc4d1b1a1f295d828

Aliases

arxiv: 1708.06396 · arxiv_version: 1708.06396v2 · doi: 10.48550/arxiv.1708.06396 · pith_short_12: VLSQ2Y2D4ZTV · pith_short_16: VLSQ2Y2D4ZTVJ76M · pith_short_8: VLSQ2Y2D

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/VLSQ2Y2D4ZTVJ76MSMW5JWAEIT \
  | 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: aae50d6343e66754ffcc932dd4d80444c4766436be94f3fbc4d1b1a1f295d828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2426c93decff00b69f7e04aeab07638e713ae16d0be3e86c547567dbbe7b8f24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-08-21T20:04:29Z",
    "title_canon_sha256": "7322ef87365522f8109b3881333d88507b72669f3645c5fd2392529efbce9843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06396",
    "kind": "arxiv",
    "version": 2
  }
}