Pith Number

pith:VXRSJ6JM

pith:2020:VXRSJ6JMNMDRFXB4PT6RFXNIC2

not attested not anchored not stored refs pending

A Comparison Map for Symmetric Homology and Gamma Homology

Daniel Graves

arxiv:2005.07963 v2 · 2020-05-16 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXRSJ6JMNMDRFXB4PT6RFXNIC2}

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	2026-07-05T01:06:21.906165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade324f92c6b0712dc3c7cfd12dda81691e3a2d25447ee50f8387d7713f336f2

Aliases

arxiv: 2005.07963 · arxiv_version: 2005.07963v2 · doi: 10.48550/arxiv.2005.07963 · pith_short_12: VXRSJ6JMNMDR · pith_short_16: VXRSJ6JMNMDRFXB4 · pith_short_8: VXRSJ6JM

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/VXRSJ6JMNMDRFXB4PT6RFXNIC2 \
  | 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: ade324f92c6b0712dc3c7cfd12dda81691e3a2d25447ee50f8387d7713f336f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e607137e15f3751b5048d7b09da18c3850c8b3591f9d5871147d476e3dfef05a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-05-16T12:11:07Z",
    "title_canon_sha256": "31c17b16e5d39eb65f7dcd4388c8ed7b3ce04a1d9a84c47307fa27885f69aa82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.07963",
    "kind": "arxiv",
    "version": 2
  }
}