Pith Number

pith:U55D32BP

pith:2015:U55D32BP37CAFKKBMNXQ4DUDMP

not attested not anchored not stored refs pending

Covariant Functors and Asymptotic Stability

Tony Se

arxiv:1507.08389 v1 · 2015-07-30 · 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{U55D32BP37CAFKKBMNXQ4DUDMP}

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	2026-05-18T01:36:06.599508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77a3de82fdfc402a941636f0e0e8363c5d33b34265031c0d73dfc1020449301

Aliases

arxiv: 1507.08389 · arxiv_version: 1507.08389v1 · doi: 10.48550/arxiv.1507.08389 · pith_short_12: U55D32BP37CA · pith_short_16: U55D32BP37CAFKKB · pith_short_8: U55D32BP

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/U55D32BP37CAFKKBMNXQ4DUDMP \
  | 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: a77a3de82fdfc402a941636f0e0e8363c5d33b34265031c0d73dfc1020449301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baf047e49abb521a882d9673bb6244a1898b3ccf32ce6709bae27fb5cc3873b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-30T06:15:42Z",
    "title_canon_sha256": "785a4a6e5eedb0c4d07ba5a304046a66cabb6241f3df5be852f3fa015aff425c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08389",
    "kind": "arxiv",
    "version": 1
  }
}