Pith Number

pith:E7BA6VDM

pith:2025:E7BA6VDMM57OORXKCMOT64NHP6

not attested not anchored not stored refs pending

A chromatic approach to homological stability

Oscar Randal-Williams

arxiv:2508.20629 v3 · 2025-08-28 · 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{E7BA6VDMM57OORXKCMOT64NHP6}

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.

Cited by

1 paper in Pith

The Goncharov Lie coalgebra of a field

Receipt and verification

First computed	2026-07-22T01:23:31.559618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27c20f546c677ee746ea131d3f71a77fbe8ba5eefdbe8e1ed5e593316a5832aa

Aliases

arxiv: 2508.20629 · arxiv_version: 2508.20629v3 · doi: 10.48550/arxiv.2508.20629 · pith_short_12: E7BA6VDMM57O · pith_short_16: E7BA6VDMM57OORXK · pith_short_8: E7BA6VDM

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/E7BA6VDMM57OORXKCMOT64NHP6 \
  | 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: 27c20f546c677ee746ea131d3f71a77fbe8ba5eefdbe8e1ed5e593316a5832aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "095e7d964d52132b2cfcf4218f4e7e5ee1d530f457e27464772f5e66b10f74dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-08-28T10:20:42Z",
    "title_canon_sha256": "352c3eef0166d192e56c0ce8793fb6d88e80758716f41d7a0da4c00d10d52606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20629",
    "kind": "arxiv",
    "version": 3
  }
}