Pith Number

pith:24435WAP

pith:2017:24435WAPSJ72RGYWKFAUFQZQDE

not attested not anchored not stored refs pending

Min-Max Theorems for Packing and Covering Odd $(u,v)$-trails

Chaitanya Swamy, Sharat Ibrahimpur

arxiv:1708.06857 v1 · 2017-08-23 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24435WAPSJ72RGYWKFAUFQZQDE}

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	2026-05-18T00:36:49.027713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d739bed80f927fa89b16514142c3301910cd9cd3dbc82701aaeaf6f9f925cfdb

Aliases

arxiv: 1708.06857 · arxiv_version: 1708.06857v1 · doi: 10.48550/arxiv.1708.06857 · pith_short_12: 24435WAPSJ72 · pith_short_16: 24435WAPSJ72RGYW · pith_short_8: 24435WAP

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/24435WAPSJ72RGYWKFAUFQZQDE \
  | 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: d739bed80f927fa89b16514142c3301910cd9cd3dbc82701aaeaf6f9f925cfdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356ebd8e32974a97f76b036d33954a6302ce3a9d5ee95340f1c2ea4e6474c426",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-08-23T00:18:44Z",
    "title_canon_sha256": "ddbba385623f75dbb801334228bfd4d297923981a1583e47b986e9ab30e503fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06857",
    "kind": "arxiv",
    "version": 1
  }
}