Pith Number

pith:THJC2L67

pith:2016:THJC2L673WOWRTJZZOTYX3E6U4

not attested not anchored not stored refs pending

A note on the subadditivity of Syzygies

Hema Srinivasan, Sabine El Khoury

arxiv:1602.02116 v3 · 2016-02-05 · 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{THJC2L673WOWRTJZZOTYX3E6U4}

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	2026-05-18T01:04:45.377356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99d22d2fdfdd9d68cd39cba78bec9ea707c02fcfb8cab1622cb5f036241effd5

Aliases

arxiv: 1602.02116 · arxiv_version: 1602.02116v3 · doi: 10.48550/arxiv.1602.02116 · pith_short_12: THJC2L673WOW · pith_short_16: THJC2L673WOWRTJZ · pith_short_8: THJC2L67

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/THJC2L673WOWRTJZZOTYX3E6U4 \
  | 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: 99d22d2fdfdd9d68cd39cba78bec9ea707c02fcfb8cab1622cb5f036241effd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ed27ce6cba23a5e92979042f843429c7636aeb19ef46c630dba5b78dd08eec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-02-05T18:27:16Z",
    "title_canon_sha256": "271faae824aea54e36c04a3930f5c9c9838245f0eb2b736f611baf1888f249d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02116",
    "kind": "arxiv",
    "version": 3
  }
}